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136042751727 = 32232202914083
BaseRepresentation
bin111111010110011000…
…1111010011011101111
3111000011001102211122100
41332230301322123233
54212103421023402
6142255220150143
712554160211221
oct1765461723357
9430131384570
10136042751727
115277164aa23
1222448538353
13caa0a8b77c
146827c46411
1538135e371c
hex1facc7a6ef

136042751727 has 36 divisors (see below), whose sum is σ = 205537248280. Its totient is φ = 86702986656.

The previous prime is 136042751641. The next prime is 136042751729. The reversal of 136042751727 is 727157240631.

136042751727 is a `hidden beast` number, since 1 + 3 + 604 + 2 + 7 + 5 + 17 + 27 = 666.

It is not a de Polignac number, because 136042751727 - 214 = 136042735343 is a prime.

It is a super-2 number, since 2×1360427517272 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136042751729) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9653028 + ... + 9667110.

Almost surely, 2136042751727 is an apocalyptic number.

136042751727 is a deficient number, since it is larger than the sum of its proper divisors (69494496553).

136042751727 is a wasteful number, since it uses less digits than its factorization.

136042751727 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16164 (or 16138 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 136042751727 in words is "one hundred thirty-six billion, forty-two million, seven hundred fifty-one thousand, seven hundred twenty-seven".

Divisors: 1 3 9 23 69 207 529 1587 2029 4761 6087 14083 18261 42249 46667 126747 140001 323909 420003 971727 1073341 2915181 3220023 7449907 9660069 22349721 28574407 67049163 85723221 257169663 657211361 1971634083 5914902249 15115861303 45347583909 136042751727